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Finding the Third Proportional to 406,422 and 632,900

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Solution

The third proportional to 406,422 and 632,900 is: 985,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,422 : 632,900 = 632,900 : x
  2. Step 2: Convert to fraction form
    406,422/632,900 = 632,900/x
  3. Step 3: Cross multiply
    406,422x = 632,900 × 632,900
  4. Step 4: Simplify right side
    406,422x = 400,562,410,000
  5. Step 5: Solve for x
    x = 400,562,410,000/406,422
  6. Step 6: Final answer
    x = 985,582.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.